470680100 has 72 divisors (see below), whose sum is σ = 1118157600. Its totient is φ = 170553600.

The previous prime is 470680081. The next prime is 470680109. The reversal of 470680100 is 1086074.

It is a self number, because there is not a number n which added to its sum of digits gives 470680100.

It is not an unprimeable number, because it can be changed into a prime (470680109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416336 + ... + 417464.

Almost surely, 2^470680100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470680100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559078800).

470680100 is an abundant number, since it is smaller than the sum of its proper divisors (647477500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

470680100 is a wasteful number, since it uses less digits than its factorization.

470680100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 470680100 is about 21695.1630553909. The cubic root of 470680100 is about 777.8728477137.

The spelling of 470680100 in words is "four hundred seventy million, six hundred eighty thousand, one hundred".